Best Known (11, 11+30, s)-Nets in Base 32
(11, 11+30, 120)-Net over F32 — Constructive and digital
Digital (11, 41, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
(11, 11+30, 129)-Net in Base 32
(11, 41, 129)-net in base 32, using
- 1 times m-reduction [i] based on (11, 42, 129)-net in base 32, using
- base change [i] based on digital (4, 35, 129)-net over F64, using
- net from sequence [i] based on digital (4, 128)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 4 and N(F) ≥ 129, using
- net from sequence [i] based on digital (4, 128)-sequence over F64, using
- base change [i] based on digital (4, 35, 129)-net over F64, using
(11, 11+30, 2687)-Net in Base 32 — Upper bound on s
There is no (11, 41, 2688)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 51 697002 274614 068041 975430 547919 282271 497096 333400 387788 108593 > 3241 [i]